Question

what is the obtuse angle between the lines whose slopes are 2-root3

and 2+root3 ?​

Answer 1

Answer:

Step-by-step explanation:

What is the angle between the lines whose slopes are 1/2 and 3?

A slope of 3 is arc tan 3 = 71.56505118 deg and a slope of 3 is arc tan 0.5 = 26.56505118 deg. So the angle between the two slopes = 71.56505118 - 26.56505118 = 45 deg.

Another method:

tan (A-B) = [tan A - tan B]/[1+ tan A*tan B] = [3–0.5]/[1+3*0.5]

= 2.5/[1+1.5]

= 2.5/2.5 = 1